111113113113 has 6 divisors (see below), whose sum is σ = 160496718954. Its totient is φ = 74075408736.

The previous prime is 111113113099. The next prime is 111113113157. The reversal of 111113113113 is 311311311111.

It can be written as a sum of positive squares in only one way, i.e., 94960736649 + 16152376464 = 308157^2 + 127092^2 .

It is not a de Polignac number, because 111113113113 - 2³³ = 102523178521 is a prime.

It is a super-2 number, since 2×111113113113² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (111113118113) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6172950720 + ... + 6172950737.

It is an arithmetic number, because the mean of its divisors is an integer number (26749453159).

Almost surely, 2^111113113113 is an apocalyptic number.

It is an amenable number.

111113113113 is a deficient number, since it is larger than the sum of its proper divisors (49383605841).

111113113113 is a wasteful number, since it uses less digits than its factorization.

111113113113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12345901463 (or 12345901460 counting only the distinct ones).

The product of its digits is 27, while the sum is 18.

Adding to 111113113113 its reverse (311311311111), we get a palindrome (422424424224).

It can be divided in two parts, 11111 and 3113113, that multiplied together give a palindrome (34589798543).

The spelling of 111113113113 in words is "one hundred eleven billion, one hundred thirteen million, one hundred thirteen thousand, one hundred thirteen".